This paper introduces a method of designing an M-channel, causal, stable and perfect reconstruction (PR), infinite impulse response (IIR), parallel uniform discrete Fourier transform (DFT) FILTER banks. The basic idea behind this is based on an efficient technique of designing and implementing narrowband lowpass finite impulse response (FIR) FILTERs, called the INTERPOLATED FIR (IFIR) technique. In this paper, we have extended the IFIR concept to the IIR FILTER, known as INTERPOLATED IIR (IIIR), and applied the concept to IIR DFT FILTER banks. It has been shown that this technique is good for IIR DFT FILTER banks in polyphase oversampled case and also has a modular structure which is therefore very useful for very large scale integration (VLSI) implementation.

Introduction: Myocardial SPECT imaging is usually performed acquiring 32 views in 180 degree with equal steps of 5.625 degrees. Acquiring more images requires spending more time or injection of more activity to the patients. An idea to improve the quality reconstructed images without acquiring extra images is producing the extra images interpolating the data between adjacent projections. The aim of present study was investigation the feasibility of this idea.Methods: Obviously such investigation cannot be performed on real patient's data. Therefore, data were simulated using NCAT digital phantom and SimSET Monte Carlo code. The imaging was performed as usual, acquiring 32 views from right anterior oblique to left posterior oblique. The data were INTERPOLATED to construct 5 images between adjacent projections convert it into 187 projections. The simulation was performed again acquiring 187 images as the reference. The conventional, INTERPOLATED and reference data set were reconstructed and compared for improvement and degradation in quality of final images. The above procedure was repeated for phantoms representing different types of heart disease, different cardiac size and different count densities.Results: The results showed that Hermit interpolation technique produces better quality images comparing to other interpolation methods tested. Results also confirmed that streak artifacts decreases, signal to noise ratio and contrast increased due to increasing the number of samples.Conclusion: These results indicate that the physical properties of reconstructed images improve significantly.This directly must improve the lesions delectability of images. However the matter is still under investigation.

A potential energy surface, describing the behavior of the title reaction, has been constructed by interpolation of ab initio data. H2O, NH, HON, HNO, NH3, O, H2NO, cis or trans-HONH, H products, two vibrationally energized NH2OH* and NH3O* adducts were observed. The reaction probabilities, effective cross sections, and branching ratios for different channels are reported. The rate constant for the formation of the NH2OH* is calculated as a function of effective cross section and is compared with the available data in the literature. The calculated QCT rate constant for the formation of NH2OH was found to be lower than that reported in our previous study (J. Phys. Chem. A, 113, 12961, 2009) based on the RRKM method with steady state assumption for the formation of energized adducts that could be due to the lack of the stabilization process in QCT calculations.

Despite the variety of methods available to solve nonlinear optimal con-trol problems, numerical methods are still evolving to solve these problems. This paper deals with the numerical solution of nonlinear optimal control affine problems by the INTERPOLATED variational iteration method, which was introduced in 2016 to improve the variational iteration method. For this purpose, the optimality conditions are first derived as a two-point bound-ary value problem and then converted to an initial value problem with the unknown initial values for costates. The speed and convergence of the method are compared with the existing methods in the form of three ex-amples, and the initial values of the costates are obtained by an efficient technique in each iteration.